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					                                    Combining Like Terms

You can write an algebraic expression that names a group of blocks many ways. If you group the
blocks together that have the same size and shape, that is a way to show combining like terms.
Look at these examples.

Example 1:




Example 2:




Example 3:
Combining Like Terms – Your Turn           Name: __________________________
I. For each problem below:
    1. show the figure with your blocks,
    2. combine like terms,
    3. write the quantity the short way.

                                                  Like Terms Combined
1,




2,




3,




4,




5,




6,
7,




8,




9.




II. In the expressions below, the value of the blocks is given. Write the expression after
    combining like terms. You may use the blocks to check your answers.

1. . x + y + y                              ___________________________________

2. x2 + y2 + y2 + 2 + x + x2 + 7            ___________________________________

3. x2 + y2 + x + x2                         ___________________________________

4. x + y + xy + x                           ___________________________________

5. 4x + x2 + 1 + 5x                         ___________________________________

6. x2 + y2 + 2y2 + 4 + 3x2                  ___________________________________

7. 6x2 + xy + x2                            ___________________________________




adapted from:
Combining Like Terms – Your Turn Answer Key
I. For each problem below:
   1. show the figure with your blocks,
   2. combine like terms,
   3. write the quantity the short way.

                                              Like Terms Combined
1,


                                                      4y


2,


                                                     x+4


3,


                                                    2x + y


4,


                                                 3x2 + 2x + 6


5,


                                                 2y2 + 2x + 3


6,


                                                  x2 + 3x + 3
7,


                                                                          3x2 + 2y + 5


8,


                                                                         3x2 + 2x + 10


9.


                                                                         3x2 + 2xy + y




III. In the expressions below, the value of the blocks is given. Write the expression after
     combining like terms. You may use the blocks to check your answers.

1. . x + y + y                               x + 2y

2. x2 + y2 + y2 + 2 + x + x2 + 7             2x2 + 2y2 + x + 9

3. x2 + y2 + x + x2                          2x2 + y2 + x

4. x + y + xy + x                            2x + y + xy

5. 4x + x2 + 1 + 5x                          x2 + 9x + 1

6. x2 + y2 + 2y2 + 4 + 3x2                   4x2 + 3y2 + 4

7. 6x2 + xy + x2                             7x2 + xy




adapted from:

				
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posted:5/23/2013
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